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Finding the Fourth Proportional to 2,761.11, 3,808.08 and 2,229.84

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Solution

The fourth proportional to 2,761.11, 3,808.08 and 2,229.84 is: 3,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.11 : 3,808.08 = 2,229.84 : x
  2. Step 2: Convert to fraction form
    2,761.11/3,808.08 = 2,229.84/x
  3. Step 3: Cross multiply
    2,761.11x = 3,808.08 × 2,229.84
  4. Step 4: Simplify right side
    2,761.11x = 8,491,409.11
  5. Step 5: Solve for x
    x = 8,491,409.11/2,761.11
  6. Step 6: Final answer
    x = 3,075.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.